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Finding the Fourth Proportional to 2,829.80, 3,906.74 and 1,886.92

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Solution

The fourth proportional to 2,829.80, 3,906.74 and 1,886.92 is: 2,605.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829.80 : 3,906.74 = 1,886.92 : x
  2. Step 2: Convert to fraction form
    2,829.80/3,906.74 = 1,886.92/x
  3. Step 3: Cross multiply
    2,829.80x = 3,906.74 × 1,886.92
  4. Step 4: Simplify right side
    2,829.80x = 7,371,705.84
  5. Step 5: Solve for x
    x = 7,371,705.84/2,829.80
  6. Step 6: Final answer
    x = 2,605.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.